Factoring
5(x+3)
What is the denominator of the quadratic formula?
2a
f(x)=x2+4 ; g(x)=10-x
What is g(11)?
-1
What is the center of the circle given by the equation:
x2+y2=100
(0,0)
What does "rational" mean in math?
fraction
Factor x2+7x+12
(x+4)(x+3)
b2-4ac or the part that is under the radical
f(x)=x2+4 ; g(x)=10-x
What is (f+g)(x)?
x2-x+14
What's the radius of the circle that has the equation:
(x-10)2+(y+5)2=25
5
Before you can add or subtract rational expressions together, what needs to be true about them?
They need to share a common denominator
Factor 100-y2
(10-y)(10+y)
If the discriminant is 0, how many root(s) does the quadratic have? What's the type?
1 real root
f(x)=x2+4 ; g(x)=10-x
What is f[g(2)]?
68
What would be the equation for the square root function translated down 2 and right 4?
sqrt(x-4)-2
What is the least common multiple of 5, 12x, and 2x2?
60x2
Factor 2x2+10x+8
2(x+1)(x+4)
If a quadratic only has imaginary roots, then what is true about the parabola when it is graphed?
It never crosses the x-axis
f(x)=x2+4 ; g(x)=10-x
What is g[f(x)]?
-x2+6
How does a negative sign on the outside of the square root function affect the graph?
It flips it over the x-axis
Simplify the rational expression
(x-2)/(x+1)
Factor 4x2+12x+5
(2x+1)(2x+5)
What is the quadratic formula?
[-b +/- sqrt(b2-4ac)]/(2a)
f(x)=x2+4 ; g(x)=10-x
What is f[g(x)]?
x2-20x+104
What is the equation of a circle that has center (5,-3) and is tangent to the x-axis?
(x-5)2+(y+3)2=9
Simplify the rational expression
1/(y+6)